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math.CO2021
The q-Log-Concavity and Unimodality of q-Kaplansky Numbers
Kathy Q. Ji
-Kaplansky numbers were considered by Chen and Rota. We find that -Kaplansky numbers are connected to the symmetric differences of Gaussian polynomials introduced by Reiner a…
math.CO2021
A Combinatorial Proof of a Schmidt Type Theorem of Andrews and Paule
Kathy Q. Ji
This note is devoted to a combinatorial proof of a Schmidt type theorem due to Andrews and Paule. A four-variable refinement of Andrews and Paule's theorem is also obtained based o…